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Finding the Fourth Proportional to 12,373, 17,074.74 and 6,784

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Solution

The fourth proportional to 12,373, 17,074.74 and 6,784 is: 9,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373 : 17,074.74 = 6,784 : x
  2. Step 2: Convert to fraction form
    12,373/17,074.74 = 6,784/x
  3. Step 3: Cross multiply
    12,373x = 17,074.74 × 6,784
  4. Step 4: Simplify right side
    12,373x = 115,835,036.16
  5. Step 5: Solve for x
    x = 115,835,036.16/12,373
  6. Step 6: Final answer
    x = 9,361.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.